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Question
Simplify:
`("x"^("a"+"b"))^("a"-"b").("x"^("b"+"c"))^("b"-"c").("x"^("c"+"a"))^("c"-"a")`
Sum
Solution
`("x"^("a"+"b"))^("a"-"b").("x"^("b"+"c"))^("b"-"c").("x"^("c"+"a"))^("c"-"a")`
`="x"^(("a"+"b")("a"-"b"))."x"^(("b"+"c")("b"-"c"))."x"^(("c"+"a")("c"-"a")`
`="x"^("a"^2-"b"^2)".x"^("b"^2-"c"^2)."x"^("c"^2-"a"^2)`
`="x"^("a"^2-"b"^2+"b"^2-"c"^2+"c"^2-"a"^2`
`="x"^0`
`=1`
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Law of Exponents (For Integral Powers)
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